Solve 2x+1/7=9

$$2 x + \frac { 1 } { 7 } = 9$$

Solve for x

$$x = \frac{31}{7} = 4\frac{3}{7} \approx 4.428571429$$

Steps for Solving Linear Equation

Subtract \frac{1}{7} from both sides.

$$2x=9-\frac{1}{7}$$

Convert 9 to fraction \frac{63}{7}.

$$2x=\frac{63}{7}-\frac{1}{7}$$

Since \frac{63}{7} and \frac{1}{7} have the same denominator, subtract them by subtracting their numerators.

$$2x=\frac{63-1}{7}$$

Subtract 1 from 63 to get 62.

$$2x=\frac{62}{7}$$

Divide both sides by 2.

$$x=\frac{\frac{62}{7}}{2}$$

Express \frac{\frac{62}{7}}{2} as a single fraction.

$$x=\frac{62}{7\times 2}$$

Multiply 7 and 2 to get 14.

$$x=\frac{62}{14}$$

Reduce the fraction \frac{62}{14} to lowest terms by extracting and canceling out 2.

$$x=\frac{31}{7}$$